A PDE-ODE model for traffic control with autonomous vehicles

DOI10.3934/nhm.2023051OpenAlexW3179784257MaRDI QIDQ6145309

Maria Laura Delle Monache, Raphael Stern, Thibault Liard

Publication date: 2 February 2024

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2023051

zbMATH Keywords

scalar conservation lawstraffic controltraffic flow modelsautonomous vehiclesPDE-ODE systems

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic equations (35L03) Traffic and pedestrian flow models (76A30)

Cites Work

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• Polygonal approximations of solutions of the initial value problem for a conservation law
• Hyperbolic systems of conservation laws II
• Well-Posedness for Scalar Conservation Laws with Moving Flux Constraints
• Traffic Reconstruction Using Autonomous Vehicles
• Shock Waves on the Highway
• On kinematic waves II. A theory of traffic flow on long crowded roads

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